2Uxxy+3Uxyy-Uxy=0 where U=U(x,y)(adsbygoogle = window.adsbygoogle || []).push({});

I made the substitution W=Uxy and then used a change of coordinates (n= 2x+3y, and r=3x-2y) which reduced the problem to solving Uxy=f(3x-2y)exp((2x+3y)/3) because W=f(r)exp(n/3). Now I have no idea where to go from there. Any help would be much appreciated.

Thanks

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# Help solving third order pde?

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